Random coding bound for the second moment of multidimensional lattices

Random coding bound for the second moment of multidimensional lattices Efficiency of lattice quantization depends on the parameter of a lattice called the normalized second moment of the Voronoi polyhedron. We apply random-coding methods to study lattices generated by q-ary linear codes. We prove that in this class there are lattices with the normalized second moment close to the theoretically attainable limit. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Random coding bound for the second moment of multidimensional lattices

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Publisher
Nauka/Interperiodica
Copyright
Copyright © 2007 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946007010073
Publisher site
See Article on Publisher Site

Abstract

Efficiency of lattice quantization depends on the parameter of a lattice called the normalized second moment of the Voronoi polyhedron. We apply random-coding methods to study lattices generated by q-ary linear codes. We prove that in this class there are lattices with the normalized second moment close to the theoretically attainable limit.

Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 20, 2007

References

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